Derivative of (x^3+3)^4

Instant step-by-step solution for (x^3+3)^4

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of (x^3+3)^4

Answer
12*(3+x^3)^3*x^2
Rule Used
Chain Rule
Steps
  1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 12*(3+x^3)^3*x^2
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Derivative of (x^3+3)^4 = 12*(3+x^3)^3*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-3-minus-plus-minus-3-minus-to-minus-the-minus-4

How to find the derivative of (x^3+3)^4

To find the derivative of (x^3+3)^4, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.